In a school, the ratio of adults to the number of children is 9 : 2.
The ratio of the number of girls to the number of boys is 3 : 1.
There are 58 more girls than boys.
How many people are there in the school?
Adults |
Children |
9 x 2 |
2 x 2 |
|
Girls |
Boys |
|
3 x 1 |
1 x 1 |
18 u |
3 u |
1 u |
The number of children is the combined repeated identity.
Make the number of children the same using the LCM of 2 and 4.
LCM of 2 and 4 = 4
Number of more girls than boys
= 3 u - 1 u
= 2 u
2 u = 58
1 u = 58 ÷ 2 = 29
Number of people
= 18 u + 3 u + 1 u
= 22 u
= 22 x 29
= 638
Answer(s): 638